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Finding the Fourth Proportional to 104.20, 156.30 and 32.06

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Solution

The fourth proportional to 104.20, 156.30 and 32.06 is: 48.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.20 : 156.30 = 32.06 : x
  2. Step 2: Convert to fraction form
    104.20/156.30 = 32.06/x
  3. Step 3: Cross multiply
    104.20x = 156.30 × 32.06
  4. Step 4: Simplify right side
    104.20x = 5,011.52
  5. Step 5: Solve for x
    x = 5,011.52/104.20
  6. Step 6: Final answer
    x = 48.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.